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Finding the Third Proportional to 5,284 and 13,106

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Solution

The third proportional to 5,284 and 13,106 is: 32,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284 : 13,106 = 13,106 : x
  2. Step 2: Convert to fraction form
    5,284/13,106 = 13,106/x
  3. Step 3: Cross multiply
    5,284x = 13,106 × 13,106
  4. Step 4: Simplify right side
    5,284x = 171,767,236
  5. Step 5: Solve for x
    x = 171,767,236/5,284
  6. Step 6: Final answer
    x = 32,507.05

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.